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12001302131013 = 33132107160915277
BaseRepresentation
bin1010111010100100010101…
…0110011011000101000101
31120111022110101021012202000
42232221011112123011011
53033112131321143023
641305153323135513
72346031311646566
oct256510526330505
946438411235660
1012001302131013
1139077a61a8138
121419b23974599
136909443c2800
142d6c1a8d616d
1515c2ac3d2243
hexaea4559b145

12001302131013 has 96 divisors (see below), whose sum is σ = 19445862844800. Its totient is φ = 7311368323584.

The previous prime is 12001302131003. The next prime is 12001302131069. The reversal of 12001302131013 is 31013120310021.

12001302131013 is a `hidden beast` number, since 1 + 200 + 130 + 21 + 310 + 1 + 3 = 666.

It is not a de Polignac number, because 12001302131013 - 25 = 12001302130981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001302131003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 785572131 + ... + 785587407.

It is an arithmetic number, because the mean of its divisors is an integer number (202561071300).

Almost surely, 212001302131013 is an apocalyptic number.

12001302131013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12001302131013 is a deficient number, since it is larger than the sum of its proper divisors (7444560713787).

12001302131013 is a wasteful number, since it uses less digits than its factorization.

12001302131013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17028 (or 17009 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12001302131013 its reverse (31013120310021), we get a palindrome (43014422441034).

The spelling of 12001302131013 in words is "twelve trillion, one billion, three hundred two million, one hundred thirty-one thousand, thirteen".

Divisors: 1 3 9 13 27 39 107 117 169 321 351 507 963 1391 1521 1609 2889 4173 4563 4827 12519 14481 15277 18083 20917 37557 43443 45831 54249 62751 137493 162747 172163 188253 198601 271921 412479 488241 516489 564759 595803 815763 1549467 1634639 1787409 2238119 2447289 2581813 4648401 4903917 5362227 6714357 7341867 7745439 14711751 20143071 21250307 23236317 24580693 29095547 44135253 60429213 63750921 69708951 73742079 87286641 191252763 221226237 261859923 276253991 319549009 573758289 663678711 785579769 828761973 958647027 2486285919 2630134151 2875941081 4154137117 7458857757 7890402453 8627823243 12462411351 23671207359 34191743963 37387234053 71013622077 102575231889 112161702159 307725695667 444492671519 923177087001 1333478014557 4000434043671 12001302131013